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Finding the Fourth Proportional to 109.92, 164.71 and 52.14

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Solution

The fourth proportional to 109.92, 164.71 and 52.14 is: 78.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.92 : 164.71 = 52.14 : x
  2. Step 2: Convert to fraction form
    109.92/164.71 = 52.14/x
  3. Step 3: Cross multiply
    109.92x = 164.71 × 52.14
  4. Step 4: Simplify right side
    109.92x = 8,588.66
  5. Step 5: Solve for x
    x = 8,588.66/109.92
  6. Step 6: Final answer
    x = 78.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.